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Finding the Fourth Proportional to 14,191.92, 19,584.84 and 8,227.05

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Solution

The fourth proportional to 14,191.92, 19,584.84 and 8,227.05 is: 11,353.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,191.92 : 19,584.84 = 8,227.05 : x
  2. Step 2: Convert to fraction form
    14,191.92/19,584.84 = 8,227.05/x
  3. Step 3: Cross multiply
    14,191.92x = 19,584.84 × 8,227.05
  4. Step 4: Simplify right side
    14,191.92x = 161,125,457.92
  5. Step 5: Solve for x
    x = 161,125,457.92/14,191.92
  6. Step 6: Final answer
    x = 11,353.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.